If two digits repeat, multiply by 100, if one digit repeats, multiply by 10, if 3 digits repeat, multiply by 1,000, etc.

Sample E:

Is the number sqrt2 + 3.8 a rational or irrational?

What is an rational number?

Rational Number:
A number r is rational if it can be written as a fraction r = p/q where both p and q are integers.

What is an irrational number?
Irrational Number: The number sqrt 5 by itself is not rational and is called irrational. This is not a definition of irrational numbers. In math, it's not quite true that what is not rational is irrational. Irrationality is a term reserved for a very special kind of number.

In sample E above, when adding a rational and irrational number, the result will be the sum of a nonrepeating and nonterminating decimal. So, sqrt2 + 3.8 = irrational.

For questions 1 and 2 below, express each decimal as a quotient of two integers.
1) 4.5 (bar over 5)
N = 4.555
10N = 45.555